The ratio of the number of boys to the number of girls in a class is 1 : 5. The ratio of the students in the class who scored distinction to those who did not score distinction is 4 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 2 : 3. What is the ratio of girls who scored distinction to the girls who did not score distinction?
| Boys |
Girls |
Total |
1x5 =
5 u |
5x5 =
25 u |
6x5 =
30 u |
| Distinction |
No distinction |
Total |
4x6 =
24 u |
1x6 =
6 u |
5x6 =
30 u |
| Boys |
Girls |
Total |
| 5 u |
25 u |
30 u |
| Distinction |
No Distinction |
Distinction |
No distinction |
|
| 2 u |
3 u |
22 u |
3 u |
30 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 6 and 5 is 30.
Girls who scored distinction : Girls who did not score distinction
22 : 3
Answer(s): 22 : 3
